GCD of 360, 472, 698, 916 Calculator

Given Input numbers are 360, 472, 698, 916

In the factoring method, we have to find the divisors of all numbers

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (360, 472, 698, 916) = 2.

Given numbers are 360, 472, 698, 916

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 698 are 2 x 349

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 360, 472, 698, 916 is 2.

Given numbers are 360, 472, 698, 916

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(360, 472) = 21240

GCD(360, 472) = ( 360 x 472 ) / 21240

= 360 / 472

= 360

Step2:

LCM(8, 698) = 2792

GCD(8, 698) = ( 8 x 698 ) / 2792

= 8 / 698

= 8

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 360, 472, 698, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 827, 627, 131
• GCD of 490, 456, 819, 497
• GCD of 117, 590, 891, 309
• GCD of 849, 499, 883, 344
• GCD of 390, 294, 417, 956

Given numbers are 360, 472, 698, 916
The greatest common divisor of numbers 360, 472, 698, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 472, 698, 916 is 2.

1. What is the GCD of 360, 472, 698, 916?

GCD of given numbers 360, 472, 698, 916 is 2

2. How to calculate the greatest common divisor of 360, 472, 698, 916?

We can find the highest common divisor of 360, 472, 698, 916 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 360, 472, 698, 916 i.e 2.

3. How can I use the GCD of 360, 472, 698, 916Calculator?

Out the numbers 360, 472, 698, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.